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Simplifying 0.10(k + 200) = 100 Reorder the terms: 0.10(200 + k) = 100 (200 * 0.10 + k * 0.10) = 100 (20 + 0.10k) = 100 Solving 20 + 0.10k = 100 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 0.10k = 100 + -20 Combine like terms: 20 + -20 = 0 0 + 0.10k = 100 + -20 0.10k = 100 + -20 Combine like terms: 100 + -20 = 80 0.10k = 80 Divide each side by '0.10'. k = 800 Simplifying k = 800
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